Atkin-Lehner |
3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905u |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1344271234997223225 = 322 · 52 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8051625,-8791546464] |
[a1,a2,a3,a4,a6] |
Generators |
[25030216254:2858132930313:1815848] |
Generators of the group modulo torsion |
j |
79185713292934220826001/1843993463645025 |
j-invariant |
L |
5.3627022575167 |
L(r)(E,1)/r! |
Ω |
0.089625021745355 |
Real period |
R |
14.958719543806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998722 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635t2 |
Quadratic twists by: -3 |